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Finding the Fourth Proportional to 78,048.90, 107,680.95 and 44,053.38

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Solution

The fourth proportional to 78,048.90, 107,680.95 and 44,053.38 is: 60,778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,048.90 : 107,680.95 = 44,053.38 : x
  2. Step 2: Convert to fraction form
    78,048.90/107,680.95 = 44,053.38/x
  3. Step 3: Cross multiply
    78,048.90x = 107,680.95 × 44,053.38
  4. Step 4: Simplify right side
    78,048.90x = 4,743,709,809.11
  5. Step 5: Solve for x
    x = 4,743,709,809.11/78,048.90
  6. Step 6: Final answer
    x = 60,778.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.